Decoding a three-dimensional conformal manifold

Marco Baggio, Nikolay Bobev, Shai M. Chester, Edoardo Lauria, Silviu S. Pufu

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal manifold are the well-known XYZ model and three decoupled copies of the critical Wess-Zumino model. The conformal manifold enjoys a discrete duality group isomorphic to S4and can be thought of as an orbifold of CP1. We use the 4−ε expansion and the numerical conformal bootstrap to calculate the spectrum of conformal dimensions of low-lying operators and their OPE coefficients, and find a very good quantitative agreement between the two approaches.

Original languageEnglish (US)
Article number62
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Conformal field theory
  • Supersymmetric gauge theory


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